In this research, the vibration of the functionally graded material (FGM)
plates under random excitation is presented. The FGM plate is assumed
to be moderately thick. One of the refined plate theories, the first-order
shear deformable theory (FSDT) is adopted to account for the transverse
shear strain. The refined form of shear correction factor is used. The plate is
assumed to be simply supported along all edges with movable ends. The
mechanical properties of the FGM plate are graded in the thickness direction only
according to a simple power-law distribution in terms of volume fraction of
constituents. Mechanical properties of constituents (ceramic and metal) of the FGM
plate are assumed temperature-dependent. The FGM plate is subjected to
the random pressure that is considered as a stationary and homogenous
random process with zero mean and Gaussian distribution. Both the spectral
density method and Monte Carlo method are used for the linear responses.
Thermal effects are only included in the Monte Carlo method. The root mean
square (RMS) and mean responses of the FGM plate for different plate sizes,
sound pressure levels, volume fractions and temperature distributions are
presented.
